Refined Grid Sampling for Efficient Implicit Neural Representations of Large-Scale Scientific Data
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Abstract (arXiv)
Implicit neural representations (INRs) offer a powerful framework for modeling high-dimensional physical fields, but their training remains inefficient because evaluating dense coordinate grids is computationally expensive. Existing coordinate-pruning strategies rely on local error functions that can oversample correlated points and incur substantial overhead from full-grid error evaluation. We introduce Refined Grid Sampling (RGS), which combines stratified grid sampling, error-based refinement, and dynamic grid-resolution adjustment. This design reduces spatial redundancy without evaluating errors over the full grid. On high-resolution Navier--Stokes fields, RGS achieves higher reconstruction accuracy within a fixed wall-clock budget and reaches the accuracy of full-grid training up to 6× faster than the evaluated baselines.
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References · 12
- 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,238
- 2018On the Spectral Bias of Neural Networkscited by 1,341
- 2021Neural Fields in Visual Computing and Beyondcited by 540
- 2019Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networkscited by 368
- 2022NeRF: Neural Radiance Field in 3D Vision: A Comprehensive Review (Updated Post-Gaussian Splatting)cited by 158
- 2023Implicit Neural Representation in Medical Imaging: A Comparative Surveycited by 90
- 2023Spatial Implicit Neural Representations for Global-Scale Species Mappingcited by 59
- 2024Continuous Field Reconstruction from Sparse Observations with Implicit Neural Networkscited by 20
- 2023Inducing Point Operator Transformer: A Flexible and Scalable Architecture for Solving PDEscited by 18
- 2023Accelerating Neural Field Training via Soft Miningcited by 15
- 2024Nonparametric Teaching of Implicit Neural Representationscited by 15
- 2024EVOS: Efficient Implicit Neural Training via EVOlutionary Selectorcited by 7
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